Periodic Wave Solutions as Imbricate Series of Rational Growing Modes: Solutions to the Boussinesq Equation

DOI10.1143/JPSJ.66.1943zbMath0965.35500OpenAlexW2014208435MaRDI QIDQ2703665

Yosuke Watanabe, Masayoshi Tajiri

Publication date: 3 April 2001

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.66.1943

zbMATH Keywords

breather solutionimbricate seriesrational growing modes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations ⋮ Dynamics of multi-breathers, N-solitons and M-lump solutions in the \((2+1)\)-dimensional KdV equation

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